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Slav-nsk [51]
3 years ago
13

A soda company has determined that it's profit during lunch on a given day

Mathematics
1 answer:
DENIUS [597]3 years ago
4 0

9514 1404 393

Answer:

  15 sodas will give a maximum profit of 83

Step-by-step explanation:

For quadratic ax^2 +bx +c, the maximum occurs at x = -b/(2a). Here, we have ...

  a = -1/3, b = 10

  x = -b/(2a) = -10/(2(-1/3)) = 15

The profit for sale of 15 sodas is ...

  P(15) = (-1/3s +10)s +8 = (-1/3(15) +10)(15) +8 = 5(15) +8 = 83

The company would earn a maximum of 83 from sale of 15 sodas.

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22 divided by a number s in an algebraic expression
spayn [35]

Answer:

\frac{22}{s}

Step-by-step explanation:

Let

s -----> a number

we know that

The expression 22 divided by a number s, is the same that say the quotient of 22 and s

where

22 is the numerator and s is the denominator

therefore

\frac{22}{s}

6 0
3 years ago
Phyllis invested 800 dollars into two different accounts, a portion earning a yearly interest rate of
Nitella [24]

The amount of money that Phyllis invested at each given rate of 4 and 6 percent is = $394.57 and $591.86 respectively.

<h3>Calculation of the total capital invested</h3>

The time the investment lasted= 12 years.

Simple interest = 1579.05 - 800= $779.05

The principal capital= $800

Rate of the both capital invested;

= SI × 100/P ×T

= 779.05 × 100/800 × 12

= 77,905/9600

= 8.11%

To find the amount of money that Phyllis invested at each given rate,

Rate 1 = 4/8.11× 800

= 3200/8.11

= $394.57

Rate 2 = 6/8.11× 800

= 4800/8.11

= $591.86

The amount of money that Phyllis invested at each given rate of 4 and 6 percent is = $394.57 and $591.86 respectively.

Learn more about simple interest here:

brainly.com/question/20690803

#SPJ

7 0
2 years ago
Solve for angle A with sides 6,10,9
OLga [1]

Answer:

c = 13.52 units.

Step-by-step explanation:

So for this, lets use the Law of Sines, which says that:

Sin A / a = Sin B / b = Sin C / c

We have everything for this except the the angle measure of angle C. This can be found by doing 180 - 80 - 33, since the total interior angle measure of a triangle always equals 180 degrees.

180 - 80 - 33 = 67 degrees

With this, we can use the angle & side of A/a as well as the angle of C to get the side of c by using the Law of Sines

Sin A / a = Sin C / c

sin 33/8 = sin 67/c

c = 8*sin67 / sin 33

c = 13.52 units.

4 0
3 years ago
Each soda costs $4.50 at the baseball game. Which of the following represents the dependent variable?
Shkiper50 [21]

Answer:

The price of the soda.

Step-by-step explanation:

The dependent variable is the variable defined to be dependent on another object, typically the independent variable. That means the variable that varies based off of another value is the dependent variable. In this situation, as the number of sodas bought increases, the total price increases. The price varies off of the number of sodas because the increase in sodas causes it to increase. Thus, the price is the dependent variable.

8 0
3 years ago
What is the most efficient first step to isolate the variable term on one side of this equation?
stich3 [128]
Answer: subtract 5 from both sides

Explanation: get rid of the 5 before moving on to isolating the variable
3 0
3 years ago
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